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Finding the Third Proportional to 476,574.75 and 929,202.75

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Solution

The third proportional to 476,574.75 and 929,202.75 is: 1,811,715.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,574.75 : 929,202.75 = 929,202.75 : x
  2. Step 2: Convert to fraction form
    476,574.75/929,202.75 = 929,202.75/x
  3. Step 3: Cross multiply
    476,574.75x = 929,202.75 × 929,202.75
  4. Step 4: Simplify right side
    476,574.75x = 863,417,750,607.56
  5. Step 5: Solve for x
    x = 863,417,750,607.56/476,574.75
  6. Step 6: Final answer
    x = 1,811,715.27

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.